1827250064640 has 3456 divisors, whose sum is σ = 9307610726400. Its totient is φ = 328484782080.

The previous prime is 1827250064621. The next prime is 1827250064659. The reversal of 1827250064640 is 464600527281.

1827250064640 is a `hidden beast` number, since 1 + 8 + 27 + 2 + 500 + 64 + 64 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1827250064621) and next prime (1827250064659).

It is a tau number, because it is divible by the number of its divisors (3456).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 7645397641 + ... + 7645397879.

It is an arithmetic number, because the mean of its divisors is an integer number (2693174400).

Almost surely, 2^{1827250064640} is an apocalyptic number.

1827250064640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1827250064640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4653805363200).

1827250064640 is an abundant number, since it is smaller than the sum of its proper divisors (7480360661760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1827250064640 is a wasteful number, since it uses less digits than its factorization.

1827250064640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 1827250064640 in words is "one trillion, eight hundred twenty-seven billion, two hundred fifty million, sixty-four thousand, six hundred forty".